12737968525200 has 240 divisors, whose sum is σ = 42066148772736. Its totient is φ = 3292416921600.

The previous prime is 12737968525199. The next prime is 12737968525253. The reversal of 12737968525200 is 252586973721.

12737968525200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11131780 + ... + 12222620.

Almost surely, 2^{12737968525200} is an apocalyptic number.

12737968525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12737968525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21033074386368).

12737968525200 is an abundant number, since it is smaller than the sum of its proper divisors (29328180247536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12737968525200 is a wasteful number, since it uses less digits than its factorization.

12737968525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091162 (or 1091151 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 12737968525200 in words is "twelve trillion, seven hundred thirty-seven billion, nine hundred sixty-eight million, five hundred twenty-five thousand, two hundred".